In this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods solve the corresponding systems nonlinear differential equations. A simple and classical SIR model is considered reveal clearly idea our approach. Moreover, a SAIRP also analyzed by using same methodology, previously applied COVID-19 pandemic. Numerical experiments perfo...

A class of bivariate infinite series solutions the elliptic and hyperbolic Kepler equations is described, adding to handful 1-D that have been found throughout centuries. This result based on an iterative procedure for analytical computation all higher-order partial derivatives eccentric anomaly with respect eccentricity e mean M in a given base point (ec,Mc) (e,M) plane. Explicit examples such...

In this paper, a theorem is proved which presents the series solution obtained from the homotopy analysis method is convergent to the exact solution of nonlinear age-structured population models.

The paper presents unified analytical solution for combining high-frequency and low-frequency economic time-series by additive and proportional Denton methods with parametrical dependence on the initial values of variable and indicator in evident form. This solution spans Denton’s original and Cholette’s advanced benchmarking initial conditions as the subcases. Computational complexity of the o...

in this paper, we apply the differential transform (dt) method for finding approximate solution of the system of linear and nonlinear volterra integro-differential equations with variable coefficients, especially of higher order. we also obtain an error bound for the approximate solution. since, in this method the coefficients of taylor series expansion of solution is obtained by a recurrence r...